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Simplifying -1(3x + 2) + 4x = 5x + -1(3 + 4x) + 1 Reorder the terms: -1(2 + 3x) + 4x = 5x + -1(3 + 4x) + 1 (2 * -1 + 3x * -1) + 4x = 5x + -1(3 + 4x) + 1 (-2 + -3x) + 4x = 5x + -1(3 + 4x) + 1 Combine like terms: -3x + 4x = 1x -2 + 1x = 5x + -1(3 + 4x) + 1 -2 + 1x = 5x + (3 * -1 + 4x * -1) + 1 -2 + 1x = 5x + (-3 + -4x) + 1 Reorder the terms: -2 + 1x = -3 + 1 + 5x + -4x Combine like terms: -3 + 1 = -2 -2 + 1x = -2 + 5x + -4x Combine like terms: 5x + -4x = 1x -2 + 1x = -2 + 1x Add '2' to each side of the equation. -2 + 2 + 1x = -2 + 2 + 1x Combine like terms: -2 + 2 = 0 0 + 1x = -2 + 2 + 1x 1x = -2 + 2 + 1x Combine like terms: -2 + 2 = 0 1x = 0 + 1x 1x = 1x Add '-1x' to each side of the equation. 1x + -1x = 1x + -1x Combine like terms: 1x + -1x = 0 0 = 1x + -1x Combine like terms: 1x + -1x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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